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Finding the Fourth Proportional to 442.63, 663.31 and 211.33

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Solution

The fourth proportional to 442.63, 663.31 and 211.33 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.63 : 663.31 = 211.33 : x
  2. Step 2: Convert to fraction form
    442.63/663.31 = 211.33/x
  3. Step 3: Cross multiply
    442.63x = 663.31 × 211.33
  4. Step 4: Simplify right side
    442.63x = 140,172.93
  5. Step 5: Solve for x
    x = 140,172.93/442.63
  6. Step 6: Final answer
    x = 316.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.